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Title: Three-body unitarity with isobars revisited

Abstract

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. Here, we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. Furthermore, this property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. George Washington Univ., Washington, DC (United States)
  2. George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter, Physics Dept.
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
OSTI Identifier:
1389749
Report Number(s):
JLAB-THY-17-2496; DOE/OR/23177-4206; arXiv:1706.06118
Journal ID: ISSN 1434-6001; PII: 920
Grant/Contract Number:  
AC05-06OR23177; SC001658; PHY-1452055; 1415459
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 53; Journal Issue: 9; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Mai, M., Hu, B., Döring, M., Pilloni, A., and Szczepaniak, A. Three-body unitarity with isobars revisited. United States: N. p., 2017. Web. doi:10.1140/epja/i2017-12368-4.
Mai, M., Hu, B., Döring, M., Pilloni, A., & Szczepaniak, A. Three-body unitarity with isobars revisited. United States. doi:10.1140/epja/i2017-12368-4.
Mai, M., Hu, B., Döring, M., Pilloni, A., and Szczepaniak, A. Fri . "Three-body unitarity with isobars revisited". United States. doi:10.1140/epja/i2017-12368-4. https://www.osti.gov/servlets/purl/1389749.
@article{osti_1389749,
title = {Three-body unitarity with isobars revisited},
author = {Mai, M. and Hu, B. and Döring, M. and Pilloni, A. and Szczepaniak, A.},
abstractNote = {The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. Here, we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. Furthermore, this property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.},
doi = {10.1140/epja/i2017-12368-4},
journal = {European Physical Journal. A},
number = 9,
volume = 53,
place = {United States},
year = {2017},
month = {9}
}

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Cited by: 15 works
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    The impact of $K^{+}\Lambda$ K + Λ photoproduction on the resonance spectrum
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    The impact of $K^{+}\Lambda$ K + Λ photoproduction on the resonance spectrum
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